A Weak Contraction Principle in Partially Ordered Cone Metric Space with Three Control Functions
作者: Binayak S. ChoudhuryL. KumarT. SomN. Metiya
刊名: International Journal of Analysis and Applications, 2014, Vol.6 (1)
来源数据库: Etamaths Journal
原始语种摘要: In this paper we utilize three functions to define a weak contraction in a cone metric space with a partial order and establish that this contraction has necessarily a fixed point either under the continuity assumption or an order condition which we state here. The uniqueness of the fixed point is also derived under some additional assumptions. The result is supported with an example. The methodology used is a combination of order theoretic and analytic approaches.
全文获取路径: Etamaths Publishing  (合作)

  • methodology 方法学
  • analytic 解析的
  • necessarily 必定
  • three 
  • uniqueness 唯一性
  • establish 建立
  • point 
  • fixed 固定
  • continuity 连续性
  • additional 追加的